Find (i) the net area and (ii) the area of the region above the x-axis bounded by y = 36-x². Graph the function and indicate the region in question. Graph the function y = 36-x and find the region bounded by the function above the x-axis. Choose the correct graph below. O A. AY G (i) The net area is (ii) The area of the bounded region is B. 72 -72 Aу O c. 72 Ау O D. -72 Ay G

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay for 19 8 7 -6- 5 4- -3- H…

A:

Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

A:

Q: -1 xp(x + 1)zz² J

A: The given integral,        ∫-11e2x1+xdx

Q: Find the exact value of the expression in radians and degrees. tan 1¹ (1) Find the exact value of…

A: This question can be solved using the concept of inverse trigonometric inverse.

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: Determine whether the series is absolutely convergent, conditionally convergent, or sin(8n) Σ 47 n =…

A: We will use Ratio-Test to find convergence

Q: D Question 1 Find the domain of the vector-valued function given below. r(t)=√√√25-7i+ O [0, 5] 0…

A:

Q: Find both first partial derivatives. = In ( + ) əz əx əz ду || = Z (No Response) (No Response)

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 -…

A:

Q: 2 x³ dx -6 √x²-9 Evaluate O44√3 24√/3 34√5 34√3

A:

Q: · F(x) = 5* (S₁²¹6 (√₁+ u²) du) dt

A:

Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

A:

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ f(x,y)= fx(x,y)= Of(x,y)= f₂(x, y) =…

A: We need to find partial derivative.

Q: Use implicit differentiation to find dy/dx. b. Find the slope of the curve at the given point.…

A:

Q: Adding more people to a job will reduce the amount of time needed to complete the job. Change in…

A:

Q: Simplify. 2 sec 2 X 2 - 1

A:

Q: The temperature at any point (x, y) in a steel plate is T = 900 -0.7x² - 1.1y2, where x and y are…

A: topic- partial differentiation

Q: The owner of an apartment tower rents out each of her 250 apartments for the sum of $300 per month.…

A:

Q: Use the graph to find the point(s) of inflection of f. (Give your answer in the form of a…

A: Given: the graph is given we want to find inflection point and concave down range         Inflection…

Q: 2) × 2+4i 3+1 and 2=3-1 2+i 2 prove that x² + 3xy + y² = 6 if it was

A:

Q: 3.745 O 7.491 Question 13 Find a at time t = 2 for the space curve r(t) = (8t − 7 )i+t²j− 10tk.…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A:

Q: Evaluate f dx √1-16x²

A:

Q: Use logarithmic differentiation to find the derivative of y y = X X+7 OA. OB. O C. (3)√ 2 7 O D. X…

A: topic- differentiation properties of log used:log(ab)=blog(a)logab=log(a)-log(b)derivative formula…

Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: Find the average value of f over the region D. f(x, y) = 6x sin(y), D is enclosed by the curves y =…

A:

Q: Consider the function on the interval (0, 2). f(x) = 2x + 4 sin(x) (a) Find the open intervals on…

A:

Q: I wrote the same answer and still got it wrong, why did I get it wrong?

A:

Q: The vector v and it's initial point is given find terminal point v=, initial point (-7,-8)

A: In this question we have to find terminal point.

Q: y(0) = -1 0 = (0),

A:

Q: 2. A function is said to be if, graphically speaking, you can trace the entire curve without any…

A:

Q: Use the Alternating Series Estimation Theorem to estimate the range of values of x for which the…

A:

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A:

Q: (a) Give the linearization L(x) of f(x) at x = 2. (b) Use your answer from Part (a) to estimate the…

A: Solve the following

Q: Find the critical numbers of f (if any). Find the open intervals on which the function is increasing…

A: We have to find the critical numbers of the given function. Also, we have to find the intervals on…

Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

A:

Q: F(x)= -sqrt(4x+1)-2 This is the value of the function

A:

Q: Recopy the picture onto your paper for best results Given: mLBEC = 46°, mzDEC = 29°, CD=7, AD=8 B C…

A: Disclaimer: Since you have posted multiple subparts for a question, we will solve first three sub…

Q: Prove, using integration, that the volume of a sphere with diameter "d" is πYd³ 6

A:

Q: Find both first partial derivatives. f(x, y): fx(x, y) fy(x, y) xy x² + y² = (No Response) (No…

A:

Q: dp dt Suppose that the current population is 100,000. (a) What is the predicted rate of growth 3…

A:

Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

A:

Q: The rate of change of N is proportional to 20 + N(x), where N < −25. N(0) = 10, and N(2) = 25, find…

A:

Q: 5. y = 8x³ - 1 3 4 x 2 - 1 -

A:

Q: 2. A circular cylindrical hole is bored through a solid sphere, the axis of the hole is being a…

A:

Q: ind the definito integral that will computo for the area of the region bounded by y-2 ln x v-0 andy…

A:

Q: Find the arc length of the graph of y == 6 2x on the interval 2 L2

A:

Q: Find the curvature K of the curve given below. r(t) = ti+8t²j+2tk

A:

Q: Hallar a de modo que h sea continua para todo ax²-x, x≤-1 ax - 5, x>-1 h(x) =m Envie sus comput X…

A: